by
Hall, Prentice

Answer

c=41

Work Step by Step

The Pythagorean Theorem states that for a right triangle, $a^{2} +b^{2} = c^{2}$. Thus, we plug in the values given for a, b, or c, and then we use these values to find the missing value:
$9^{2} + 40^{2} = c^{2} \\\\ 1681=c^{2} \\\\ c=41$